A record club has found that the marginal profit, Upper P prime (x ), in cents, is given by Upper P prime (x )equals negative 0.0008 x cubed plus 0.35 x squared plus 45.5 x for x less than or equals 400, where x is the number of members currently enrolled in the club. Approximate the total profit when 240 members are enrolled by computing the sum

The total profit when 240 members are enrolled is:

3,587,212.8 cents

Step-by-step explanation:

First of all, the total profit function is gotten by integrating the marginal profit function.

Integrate thus:

Total Profit = P(x) = [-0.0008x^4 ÷ 4] + [0.35x^3 ÷ 3] + [45.5x^2 ÷ 2]

P(x) = 0.0002x^4 + 0.1167x^3 + 22.75x^2

Next, substitute 240 for x, in the total profit function.

P(x) = 0.0002[240]^4 + 0.1167[240]^3 + 22.75[240]^2

P(x) = 663552 + 1613260.8 + 1310400

P(x) = 3,587,212.8 cents

Equivalent to $35,872.128

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

i need more details

step-by-step explanation: